Speaker
Jeremi Ochab
(Universität Leipzig)
Description
The aim of the study was to compare the epidemic spread on
static and dynamic small-world networks. The network was
constructed as a 2-dimensional Watts-Strogatz model, and the
dynamics involved rewiring shortcuts in every time step of
the epidemic spread. The model of the epidemic is SIR with
latency time of 3 time steps. The behaviour of the epidemic
was checked over the range of shortcut probability per
underlying bond φ=0-0.5. The quantity of interest was
percolation threshold for the epidemic spread, for which
numerical results were checked against an approximate
analytical model. We find a significant lowering of
percolation thresholds for the dynamic network in the
parameter range given. The result shows that the behaviour
of the epidemic on dynamic network is that of a static small
world with the number of shortcuts increased by 20.7 ±
1.4%, while the overall qualitative behaviour stays the
same. We derive corrections to the analytical model which
account for the effect. For both dynamic and static
small-world we observe suppression of the average epidemic
size dependence on network size in comparison with
finite-size scaling known for regular lattice. We also study
the effect of dynamics for several rewiring rates relative
to latency time of the disease.
